Document Type
Article
Publication Date
3-15-2010
Publication Title
Physical Review A - Atomic, Molecular, and Optical Physics
Department
Department of Physics and Astronomy
Abstract
We introduce the notion of trace-norm isometric encoding and explore its implications for passive and active methods for protecting quantum information against errors. Beside providing an operational foundation to the “subsystems principle” [E. Knill, Phys. Rev. A 74, 042301 (2006)] for faithfully realizing quantum information in physical systems, our approach allows additional explicit connections between noiseless, protectable, and correctable quantum codes to be identified. Robustness properties of isometric encodings against imperfect initialization and/or deviations from the intended error models are also analyzed.
DOI
10.1103/PhysRevA.81.032313
Dartmouth Digital Commons Citation
Ticozzi, Francesco and Viola, Lorenza, "Quantum Information Encoding, Protection, and Correction from Trace-Norm Isometries" (2010). Dartmouth Scholarship. 3141.
https://digitalcommons.dartmouth.edu/facoa/3141